Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-10-31T22:55:41.956Z Has data issue: false hasContentIssue false

On strictly singular and strictly cosingular embeddings between Banach lattices of functions

Published online by Cambridge University Press:  26 July 2002

FERNANDO COBOS
Affiliation:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain. e-mail: cobos@mat.ucm.es
EVGENIY PUSTYLNIK
Affiliation:
Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel. e-mail: evg@techunix.technion.ac.il

Abstract

Let E be a Banach function lattice such that L[0, 1] [rarrhk ] E [rarrhk ] L1[0, 1]. We characterize the strict singularity of the embedding L[0, 1] [rarrhk ] E and the strict cosingularity of E [rarrhk ] L1[0, 1] in terms of functionals defined by using characteristic functions.

Type
Research Article
Copyright
2002 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)